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Finding the Fourth Proportional to 35,693.51, 53,547.78 and 13,506.40

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Solution

The fourth proportional to 35,693.51, 53,547.78 and 13,506.40 is: 20,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,693.51 : 53,547.78 = 13,506.40 : x
  2. Step 2: Convert to fraction form
    35,693.51/53,547.78 = 13,506.40/x
  3. Step 3: Cross multiply
    35,693.51x = 53,547.78 × 13,506.40
  4. Step 4: Simplify right side
    35,693.51x = 723,237,735.79
  5. Step 5: Solve for x
    x = 723,237,735.79/35,693.51
  6. Step 6: Final answer
    x = 20,262.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.